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Finding the Fourth Proportional to 65,132.96, 97,699.43 and 18,385.83

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Solution

The fourth proportional to 65,132.96, 97,699.43 and 18,385.83 is: 27,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,132.96 : 97,699.43 = 18,385.83 : x
  2. Step 2: Convert to fraction form
    65,132.96/97,699.43 = 18,385.83/x
  3. Step 3: Cross multiply
    65,132.96x = 97,699.43 × 18,385.83
  4. Step 4: Simplify right side
    65,132.96x = 1,796,285,157.04
  5. Step 5: Solve for x
    x = 1,796,285,157.04/65,132.96
  6. Step 6: Final answer
    x = 27,578.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.